On the Stability of the Triangular Lagrangian Equilibrium Points in the Relativistic Restricted Three-Body Problem
M. K. Ahmed, F.A. Abd El-Salam & S.E. Abd El-Bar
American Journal of Applied Sciences, Volume 3, Issue 9, pp. 1993–1998 · doi.org/10.3844/ajassp.2006.1993.1998
Abstract
The restricted three body problem is treated in the framework of the post-Newtonian approximation of general relativity. The equations of motion are linear zed around the libration points L4,5. Locations of the equilibrium points L4,5 are obtained. Existence and stability of these points are investigated. The relativistic correction to the classical mass ratio is determined.
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Ahmed, M. K., El-Salam, F. A. & El-Bar, S. A. (2006). On the Stability of the Triangular Lagrangian Equilibrium Points in the Relativistic Restricted Three-Body Problem . American Journal of Applied Sciences, 3(9), 1993–1998. https://doi.org/10.3844/ajassp.2006.1993.1998
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